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78426500 = 22531011553
BaseRepresentation
bin1001010110010…
…11000110000100
312110120110221012
410223023012010
5130034122000
611440541352
71641420455
oct453130604
9173513835
1078426500
11402a6a99
1222321858
131332c119
14a5b712c
156d42735
hex4acb184

78426500 has 48 divisors (see below), whose sum is σ = 173090736. Its totient is φ = 31040000.

The previous prime is 78426487. The next prime is 78426521. The reversal of 78426500 is 562487.

It can be written as a sum of positive squares in 8 ways, for example, as 20939776 + 57486724 = 4576^2 + 7582^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49724 + ... + 51276.

It is an arithmetic number, because the mean of its divisors is an integer number (3606057).

Almost surely, 278426500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78426500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86545368).

78426500 is an abundant number, since it is smaller than the sum of its proper divisors (94664236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78426500 is a wasteful number, since it uses less digits than its factorization.

78426500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 78426500 is about 8855.8737570044. The cubic root of 78426500 is about 428.0432090187.

Adding to 78426500 its reverse (562487), we get a palindrome (78988987).

The spelling of 78426500 in words is "seventy-eight million, four hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 125 202 250 404 500 505 1010 1553 2020 2525 3106 5050 6212 7765 10100 12625 15530 25250 31060 38825 50500 77650 155300 156853 194125 313706 388250 627412 776500 784265 1568530 3137060 3921325 7842650 15685300 19606625 39213250 78426500